This article analyzes a popular arithmetic textbook, "Arithmetic: For the Use of Schools and Colleges," authored by Jadav Chandra Chakravarti, to examine the contents and pedagogies in the text for how mathematics was taught and learned from the end of the nineteenth century through the first half of the twentieth century in colonial…

This paper describes some elements of a specific kind of design-based research, cooperative engineering. In the first part of the paper, we argue that cooperative engineering can be analyzed through a joint action framework. We first present some conceptual tools that the Joint Action Theory in Didactics proposes in order to understand didactic…

The aim of the study reported in this paper was to explore and enhance experienced school mathematics teachers' knowledge of students'thinking, as it is manifested in practice. Data were collected from records of classroom observations, interviews with participating teachers, and weekly teacher-researcher meetings organized in the school. In this…

Technology and mathematics. manipulatives have been brought together in a new format. This joining has resulted in virtual manipulatives that are available on the Internet for students. Virtual manipulatives have been defined as computer based renditions of common mathematics manipulatives and tools. Just as a physical object can be flipped,…

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

FIFTH GRADE WORK SHOULD CONTINUE THE SEQUENTIAL DEVELOPMENT OF MATHEMATICAL UNDERSTANDINGS AND COMPUTATIONAL SKILLS. THE PROBLEMS APPROACH SHOULD BE USED SO CHILDREN MAY DISCOVER MATHEMATICAL TRUTHS AND ARRIVE AT GENERALIZATIONS. THE NUMBER SYSTEM UNIT SHOULD EMPHASIZE THE ABILITY TO READ AND WRITE NUMERALS TO SIX PLACES AND THE ABILITY TO READ…

THE 4TH YEAR SHOULD CONTINUE THE SEQUENTIAL PRESENTATION MATHEMATICAL UNDERSTANDINGS AND RELATIONSHIPS. NEW LEARNINGS SHOULD BE PRESENTED CONCRETELY IN SOCIAL SETTINGS WITHIN THE CHILDREN'S FRAMEWORK OF UNDERSTANDING. GRAPHIC MATERIALS MAY BE USED TO BRIDGE THE UNDERSTANDINGS FROM THE CONCRETE TO THE ABSTRACT LEVEL. THE NUMBER SYSTEM UNIT SHOULD…

In this paper I argue that children have a right to basic numeracy and that studies of adult numeracy suggest that this right is being denied to many in British schools. Because of the way that maths education discourses are structured, we do not have a separately defined discourse around numeracy teaching, and this has implications for young…

The Tucson Early Education Program is working with "orchestrated instruction," a cooking experience which is an experimental attempt to pull together the various components of early education. Individual subskills such as arithmetic and language arts are learned for a larger project that the children are interested in, and skills are developed as…

THE "DEMONSTRATION PROJECT" DESCRIBED IN THIS REPORT REPRESENTED A MAJOR PART OF THE ACTIVITY OF THE SYRACUSE UNIVERSITY-WEBSTER COLLEGE "MADISON PROJECT," BEGINNING IN SEPTEMBER, 1961, AND EXTENDING THROUGH THE SUMMER OF 1967. THE GOALS AS CONCEIVED BY THE MEMBERS OF THIS PROJECT WERE (1) TO CREATE EXPERIENCES IN MATHEMATICS…

Describes a credit-card-debt activity that allows students to increase their awareness of underlying mathematical concepts relevant to the world of commerce and personal finance through learning geometric and arithmetic sequences. (KHR)

FOUR HYPOTHESES WERE CONSIDERED DURING THIS EVALUATION STUDY, NAMELY THAT THE TEACHING OF ARITHMETIC IN GRADES 4, 5, AND 6 BY THE MADISON PROJECT WILL--(1) PRODUCE AS GREAT AN INCREASE IN ACHIEVEMENT AS THE METHOD COMMONLY PRACTICED, (2) PRODUCE A GREATER INCREASE IN ALGEBRAIC APTITUDE, (3) PRODUCE A GREATER INTEREST IN MATHEMATICS, AND (4)…

This new edition updates and expands the previous volume and continues to reflect the concepts and the reasons behind learning and behavior problems of low achieving and disadvantaged students. Through the chapters, the author describes instructional levels and independent levels, emphasizing that success is produced by finding the place on the…

The teaching of mathematics from a multicultural perspective is discussed. The first two chapters present a rationale for a multicultural approach to teaching mathematics. The third chapter aims to show, through brief examples, how such an approach can be applied to any school curriculum. The remaining four chapters discuss, in greater detail,…

The arithmetic with which the American schoolboy of the twentieth century wrestles differs in many respects from the "cyphering" which was truly a stumbling block to many a child in colonial days. Not only have there been significant changes in the subject matter of arithmetic, but also in the aim of instruction, in the place of…